⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣤⣮⡿⣷⣶⣶⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⣴⡿⡷⡿⣯⣧⡯⣯⣿⣧⠷⣶⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⣿⣻⡿⣿⣟⠿⣬⡿⣿⣿⡋⢏⠵⠂⠀⠀⠀ ⠀⠀⠀⠱⣿⣿⣿⣏⡧⡧⠺⣯⡿⡿⣛⠾⠚⠪⢸⠀⠀⠀ ⠀⠀⠀⣻⣿⣿⣿⣇⡃⠀⢈⣴⣏⠧⡕⡅⡟⢳⣿⠂⠀⠀ ⠀⠀⢈⣵⣿⣿⣿⡅⠀⠀⢨⣣⣾⣮⡿⣫⣩⣖⢯⡅⠀⠀ ⠀⠰⣿⣿⣿⣿⣗⠇⠀⠀⠀⡿⢜⣿⡷⡟⣾⣷⡳⡍⠀⠀ ⠀⢰⢿⡿⣿⡯⣻⣄⠳⠶⠶⢩⣰⣿⣯⠼⡾⢯⣝⣺⠀⠀ ⠀⣮⣟⣟⢧⡷⠁⠙⣟⠾⢿⠁⡵⣵⢿⡗⣴⡷⣿⠕⡃⠀ ⢸⣷⣿⡷⣯⡡⠀⠀⣽⣦⣤⡅⡥⠢⣿⣶⣟⡗⣩⢫⣁⠀ ⢈⣿⣿⣥⢿⣧⡤⢿⠟⠀⠘⠧⢆⢡⢬⢗⡋⣵⡇⢫⠣⠀ ⢸⡟⣯⣣⣭⠅⠀⠀⠀⠀⠀⠀⠀⡯⣽⣿⢇⣽⢵⣇⠟⠄ ⢨⣯⣽⡯⣹⡁⠀⠀⠀⠀⠀⠀⠀⣘⣎⠳⣿⡢⡍⡭⣅⢄ ⢐⣯⣻⣺⢽⣃⠀⠀⠀⠀⠀⠀⠀⢠⡿⢸⢯⣿⣻⣯⣮⠁ ⢸⢡⣃⠫⣽⡝⡀⠛⢳⢗⣞⢖⠂⠀⠁⡂⣋⡭⡋⡿⢗⠃ ⢼⢟⠙⡿⠉⣷⢁⠀⠀⠉⠈⠁⠀⠀⠀⣼⠛⣿⠪⣫⡯⠂ ⠌⠉⠀⡏⠀⡪⡏⠀⠀⠀⠀⠀⠀⠀⠀⢸⡆⢨⡃⠃⠛⠀ ⠀⠀⠀⠦⠀⣮⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠶⣹⡀⠀⠀

⠀⠀⡀⣹⠶⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⣮⠀⠦⠀⠀⠀ ⠀⠛⠃⡃⢨⡆⢸⠀⠀⠀⠀⠀⠀⠀⠀⡏⡪⠀⡏⠀⠉⠌ ⠂⡯⣫⠪⣿⠛⣼⠀⠀⠀⠁⠈⠉⠀⠀⢁⣷⠉⡿⠙⢟⢼ ⠃⢗⡿⡋⡭⣋⡂⠁⠀⠂⢖⣞⢗⢳⠛⡀⡝⣽⠫⣃⢡⢸ ⠁⣮⣯⣻⣿⢯⢸⡿⢠⠀⠀⠀⠀⠀⠀⠀⣃⢽⣺⣻⣯⢐ ⢄⣅⡭⡍⡢⣿⠳⣎⣘⠀⠀⠀⠀⠀⠀⠀⡁⣹⡯⣽⣯⢨ ⠄⠟⣇⢵⣽⢇⣿⣽⡯⠀⠀⠀⠀⠀⠀⠀⠅⣭⣣⣯⡟⢸ ⠀⠣⢫⡇⣵⡋⢗⢬⢡⢆⠧⠘⠀⠟⢿⡤⣧⢿⣥⣿⣿⢈ ⠀⣁⢫⣩⡗⣟⣶⣿⠢⡥⡅⣤⣦⣽⠀⠀⡡⣯⡷⣿⣷⢸ ⠀⡃⠕⣿⡷⣴⡗⢿⣵⡵⠁⢿⠾⣟⠙⠁⡷⢧⣟⣟⣮⠀ ⠀⠀⣺⣝⢯⡾⠼⣯⣿⣰⢩⠶⠶⠳⣄⣻⡯⣿⡿⢿⢰⠀ ⠀⠀⡍⡳⣷⣾⡟⡷⣿⢜⡿⠀⠀⠀⠇⣗⣿⣿⣿⣿⠰⠀ ⠀⠀⡅⢯⣖⣩⣫⡿⣮⣾⣣⢨⠀⠀⡅⣿⣿⣿⣵⢈⠀⠀ ⠀⠀⠂⣿⢳⡟⡅⡕⠧⣏⣴⢈⠀⡃⣇⣿⣿⣿⣻⠀⠀⠀ ⠀⠀⠀⢸⠪⠚⠾⣛⡿⡿⣯⠺⡧⡧⣏⣿⣿⣿⠱⠀⠀⠀ ⠀⠀⠀⠂⠵⢏⡋⣿⣿⡿⣬⠿⣟⣿⡿⣻⣿⣿⠀⠀⠀⠀ ⠀⠀⠀⠀⡀⣶⠷⣧⣿⣯⡯⣧⣯⡿⡷⡿⣴⢠⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡀⣶⣶⣷⡿⣮⣤⢀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀